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Catenoid

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The surface formed by the revolution of a catenary about the -axis; it is a minimal surface. The catenoid is the form realized by a soap bubble "stretched" over two wire discs the planes of which are perpendicular to the line joining their centres (see Fig.).

Figure: c020800a


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References

[a1] C.C. Hsiung, "A first course in differential geometry" , Wiley (Interscience) (1981)
How to Cite This Entry:
Catenoid. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Catenoid&oldid=16593
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article